document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968939>Question 968939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagonal and the longer side of a rectangle make an angle of 30 degree.\r<BR>\n" );
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document.write( "If the longer side is 10m,find the length of the shorter side. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592032 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> h, hypotenuse<BR>\n" );
document.write( "L, longer side<BR>\n" );
document.write( "s, shorter side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2%2BL%5E2=h%5E2 ALIGN=MIDDLE  ALT=\"s%5E2%2BL%5E2=h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2=h%5E2-L%5E2 ALIGN=MIDDLE  ALT=\"s%5E2=h%5E2-L%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=sqrt%28h%5E2-L%5E2%29 ALIGN=MIDDLE  ALT=\"s=sqrt%28h%5E2-L%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "but is this necessary?\r<BR>\n" );
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document.write( "You have a Special 30-60-90 Right Triangle, so you already can rely on some facts, again which you can find through use of Pythagorean Theorem.  Alternatively, the long leg is the height of an equilateral triangle and the hypotenue (or diagonal) is one of the sides of the equilateral triangle.  You can therefore form this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2%2BL%5E2=h%5E2 ALIGN=MIDDLE  ALT=\"s%5E2%2BL%5E2=h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2%2BL%5E2=%282s%29%5E2 ALIGN=MIDDLE  ALT=\"s%5E2%2BL%5E2=%282s%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "......but again, is this the only necessary way?\r<BR>\n" );
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document.write( "WHAT YOU REALLY WANT IS HERE:\r<BR>\n" );
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document.write( "You know the sine and the cosine of 30 degrees.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28L%2Fh=cos%2830%29%2C+s%2Fh=sin%2830%29%29 ALIGN=MIDDLE  ALT=\"system%28L%2Fh=cos%2830%29%2C+s%2Fh=sin%2830%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The question is for finding the shorter leg, s.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2FL=1%2Fcos%2830%29 ALIGN=MIDDLE  ALT=\"h%2FL=1%2Fcos%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=L%2Fcos%2830%29 ALIGN=MIDDLE  ALT=\"h=L%2Fcos%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use this in the other, the sine equation.....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=h%2Asin%2830%29 ALIGN=MIDDLE  ALT=\"s=h%2Asin%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28s=%28L%2Fcos%2830%29%29sin%2830%29%29 ALIGN=MIDDLE  ALT=\"highlight%28s=%28L%2Fcos%2830%29%29sin%2830%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "----<BR>\n" );
document.write( "You can fill in the values and compute. </SPAN>\n" );
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